The likelihood of him doing again what he has done several times before is pretty high. Although he promised to not do it again, change is not so easy. You may decide to tolerate some more of his bad behavior while he gradually changes for the better. Give yourself permission to do whatever you need to.

Since this is a relatively not so long-term relationship and a new marriage, you may decide to end it now, and that is less painful than ending a longer marriage with children. But you also may choose to stay with a not-so perfect relationship and accept the good that you both do have.

I know how hard this is and again empathize with your conflicted feelings!